A Hermitian metric on a complex manifold is called strong Kähler with torsion (SKT) if its fundamental 2-form ω is ∂∂-closed. We review some properties of strong KT metrics also in relation with symplectic forms taming complex structures. Starting from a 2. n-dimensional SKT Lie algebra g and using a Hermitian flat connection on g we construct a 4. n-dimensional SKT Lie algebra. We apply this method to some 4-dimensional SKT Lie algebras. Moreover, we classify symplectic forms taming complex structures on 4-dimensional Lie algebras.
Titolo: | Special Hermitian metrics and Lie groups |
Autori Riconosciuti: | |
Autori: | N. Enrietti; A. Fino |
Data di pubblicazione: | 2011 |
Abstract: | A Hermitian metric on a complex manifold is called strong Kähler with torsion (SKT) if its fundamental 2-form ω is ∂∂-closed. We review some properties of strong KT metrics also in relation with symplectic forms taming complex structures. Starting from a 2. n-dimensional SKT Lie algebra g and using a Hermitian flat connection on g we construct a 4. n-dimensional SKT Lie algebra. We apply this method to some 4-dimensional SKT Lie algebras. Moreover, we classify symplectic forms taming complex structures on 4-dimensional Lie algebras. |
Volume: | 29, Supplement 1 |
Pagina iniziale: | 211 |
Pagina finale: | 219 |
Digital Object Identifier (DOI): | 10.1016/j.difgeo.2011.04.043 |
Rivista: | DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS |
Appare nelle tipologie: | 03A-Articolo su Rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.